Dendrimers: Difference between revisions
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where <math>N</math> is the number of monomers. | where <math>N</math> is the number of monomers. | ||
====Ideal dendrimer==== | |||
For an ''ideal'' dendrimer, consisting of non-interacting monomers, is given by | |||
:<math>R_{G{\mathrm{ideal}} \propto \sqrt{PG}</math> | |||
==Specific dendrimers== | ==Specific dendrimers== | ||
*[[Carbosilane dendrimer | Carbosilane]] | *[[Carbosilane dendrimer | Carbosilane]] | ||
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Dendrimers. Dendrimers can be characterised by three parameters: functionality (), spacer length () and number of generations (). The number of monomers (Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle N} ) in a dendrimer is given by
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle N= 1 +fP \frac{(f-1)^{G+1}-1}{f-2}}
Density profile
Dense shell model
Dense core model
Most studies support the dense core model of Lescanec and Muthukumar[2] [3] despite early uptake of the dense shell model.
Radius of gyration
It has been suggested that the radius of gyration (Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle R_G} ) scales as [4]
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle R_G \propto N^{1/3}}
where Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle N} is the number of monomers.
Ideal dendrimer
For an ideal dendrimer, consisting of non-interacting monomers, is given by
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle R_{G{\mathrm{ideal}} \propto \sqrt{PG}}
Specific dendrimers
- Carbosilane
- PAMAM (also known as STARBURST®)
- PBzE poly(benzyl ether)
- PPI (polypropylenimine)
- Tecto dendrimers
See also
- Star polymers (Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle G=0} )
References
- ↑ P. G. de Gennes and H. Hervet "Statistics of «starburst» polymers", Journal de Physique Lettres 44 pp. 351-360 (1983)
- ↑ Robert L. Lescanec and M. Muthukumar "Configurational characteristics and scaling behavior of starburst molecules: a computational study", Macromolecules 23 pp. 2280-2288 (1990)
- ↑ David Boris and Michael Rubinstein "A Self-Consistent Mean Field Model of a Starburst Dendrimer: Dense Core vs Dense Shell", Macromolecules 29 pp. 7251-7260 (1996)
- ↑ Michael Murat and Gary S. Grest "Molecular Dynamics Study of Dendrimer Molecules in Solvents of Varying Quality", Macromolecules 29 pp.1278–1285 (1996)
- Related reading
- Matthias Ballauff and Christos N. Likos "Dendrimers in Solution: Insight from Theory and Simulation", Angewandte Chemie International Edition 43 pp. 2998-3020 (2004)
- M. R. Wilson, J. M. Ilnytskyi, L. M. Stimson and Z. E. Hughes "Computer simulations of liquid crystal polymers and dendrimers" in Computer Simulations of liquid crystals and polymers, eds. Pasini P., Zannoni C. and Zŭmer S., Kluwer pp. 57-78 (2004) (preprint)
- Mark R. Wilson, Lorna M. Stimson and Jaroslav M. Ilnytskyi "The influence of lateral and terminal substitution on the structure of a liquid crystal dendrimer in nematic solution: A computer simulation study", Liquid Crystals 33 pp. 1167 - 1175 (2006)
- Juan J. Freire "Realistic numerical simulations of dendrimer molecules", Soft Matter 4 pp. 2139-2143 (2008)
- Gustavo Del Río Echenique, Ricardo Rodríguez Schmidt, Juan J. Freire, José G. Hernández Cifre and José García de la Torre "A Multiscale Scheme for the Simulation of Conformational and Solution Properties of Different Dendrimer Molecules", Journal of the American Chemical Society (JACS) 131 pp. 8548-8556 (2009)
- J. M. Ilnytskyi, J. S. Lintuvuori, M. R. Wilson "Simulation of bulk phases formed by polyphilic liquid crystal dendrimers", Condensed Matter Physics 13 pp. 33001:1-16 (2010)